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Finding the Fourth Proportional to 2,368.98, 3,553.45 and 809.15

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Solution

The fourth proportional to 2,368.98, 3,553.45 and 809.15 is: 1,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.98 : 3,553.45 = 809.15 : x
  2. Step 2: Convert to fraction form
    2,368.98/3,553.45 = 809.15/x
  3. Step 3: Cross multiply
    2,368.98x = 3,553.45 × 809.15
  4. Step 4: Simplify right side
    2,368.98x = 2,875,256.30
  5. Step 5: Solve for x
    x = 2,875,256.30/2,368.98
  6. Step 6: Final answer
    x = 1,213.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.